"With deep sadness, we announced that our beloved Niki has died quietly with his family on Monday," he read the statement.
Lauda's death comes eight months after he had a lung transplant.
"His unique achievements as an athlete and entrepreneur are and remain unforgettable, his tireless tirelessness for action, his simplicity and his courage continue," he added the statement.
"It was a role model and a benchmark for all of us, he was a loving and caring husband, father and grandfather away from the public, and will be lost."
Lauda won the Formula One driver world championship three times, in 1975 and 1977 for Ferrari and in 1984 with McLaren.
"Everyone in McLaren is very sad to hear that our friend, our colleague and our Formula 1 World Champion, Niki Lauda, has died. Niki will be forever in our hearts and will be incorporated into our their account has to be checked.
Lauda had been a non-executive chair in Mercedes F1 since 2012 and was instrumental in bringing Lewis Hamilton forward to drive success which brought successive drivers and global builders championships.
During his driving career, Lauda suffered horrific injuries on 1 August 1976, when, having won five races that season, he broke into flames on the Nuerburgring in Germany.
He suffered severe burns on his face and in his hands, and inhaled toxic fumes that damaged his lungs.
Although he had the last rituals in hospital, he made a nearly miraculous recovery to racing again six weeks later still being banded and in intense pain.